What is the integral from pi/2 to (3pi)/2 of cos(x) ?

The integral from pi/2 to (3pi)/2 of cos(x) is -2

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integral from pi/2 to (3pi)/2 of cos(x)

\int_{\frac{π}{2}}^{\frac{3 π}{2}} cos (x) d x

- 2

Solution steps

\int_{\frac{π}{2}}^{\frac{3 π}{2}} cos (x) d x

Use the common integral:

\int cos (x) d x = sin (x)

= [sin (x)]_{\frac{π}{2}}^{\frac{3 π}{2}}

Compute the boundaries:

- 2

= - 2

\int_{0}^{a} (3 x^{2} - x + 1) d x

\int_{0}^{0.3} 3 e^{- x^{2}} d x

\int_{0}^{2} x 2 x^{2} + 1 d x

\int_{1}^{2} \frac{x}{( x ^{2} + 1 ) ^{2}} d x

\int_{7}^{0} ∣ 2 x - 7 ∣ d x

What is the integral from pi/2 to (3pi)/2 of cos(x) ?
The integral from pi/2 to (3pi)/2 of cos(x) is -2